Look at the figure. Points C, D, E, and G are _______ points.
A. Coplanar
B. Collinear
C. Back
D. Hidden

Answer:

34

Step-by-step explanation:

The dead bodies are still in the room.

Answer:

1000 m³

Step-by-step explanation:

The base of a cube is just a square.

The area of a square is [tex]l^2[/tex], where l is the length.

Since we know the area of the base (the square) we can find l easily.

[tex]l^2 = 100\\\\l = \sqrt{100}\\\\l=10[/tex]

Now that we know the length of the sides, we have to take note that a cube has side lengths that are all congruent.

This means the height of the cube is also 10m.

Since the volume of a cube is represented as [tex]l^3[/tex], where l is the length, we can substitute 10 in as [tex]l[/tex] to find it's total volume.

[tex]10^3 = 1000[/tex]

So the volume of this cube is 1000 m³.

Hope this helped!

Answer:

  33, 11, 24 feet

Step-by-step explanation:

Let s represent the length of the second side. Then the length of the first side is 3s and the length of the third side is s+13. The perimeter is the sum of side lengths:

  (3s) +(s) +(s +13) = 68

  5s = 55 . . . . . subtract 13

  s = 11 . . . . . . . divide by 5

The side lengths are ...

  33, 11, 24 feet

Answer:

10 cm³

Step-by-step explanation:

According to Archimedes, if we place an object in water, the rise of the water in mL will be the volume of the object in cm³.

Without the rock, the water measures 20 mL.

With the rock, the water measures 30 mL.

The change here is [tex]30-20=10[/tex], so 10 cm³ is the volume of the rock.

Hope this helped!

Answer:

(2x+8)/6=1/3(x+4)

3(2x+8)=6(x+4)

6x+24=6x+24.

0=0.

∴There are no real solutions.

===================================================

Explanation:

He has 90 feet of fencing overall. This is the perimeter of the rectangle as its the distance around all four sides.

Two of the opposite sides are the width = 15 ft. So we have 15+15 = 30 feet taken up and 90-30 = 60 feet left for the other two opposite sides to add to. Call each of those sides x

x+x = 60

2x = 60

x = 60/2

x = 30

The other side must be 30 feet long.

This rectangle is 30 by 15

perimeter = 30+15+30+15 = 45 + 45 = 90

which helps confirm we have the right answer

---------------

Or you can solve this way

P = 2*(L+W) is the perimeter of a rectangle with length L and width W

Plug in the perimeter P = 90 and the width W = 15. Solve for L

P = 2*(L+W)

90 = 2*(L+15)

2(L+15) = 90

L+15 = 90/2

L+15 = 45

L = 45-15

L = 30

Answer:

y= -1/2(x) +8

gradient= -1/2

Intercept= 8

Step-by-step explanation:

Let's transform the equation to y -intercept form first

6x - 3y - 15= 0

-3y= -6x+15

Y= -6/-3(x) +(15/-3)

Y= 2x -5

Intercept c= -5

Gradient m =2

Rule of perpendicularity

mm'= -1

m'= -1/m

m' = -1/2

Equation of line of the point (4, 6)

(Y-Y1)/(x-x1)=m'

(Y-6)/(x-4)= -1/2

2(y-6)= -1(x-4)

2y -12 = -x +4

2y= -x +4+12

2y= -x+16

y= -1/2(x) +8

gradient= -1/2

Intercept= 8

Answer:

Hope it helped u if yes mark me BRAINLIEST pzllzllzl

Answer:

Angle ABC is bisected by BD

BC =Half AC

2 mangle DBC =mangle ABC

Answer:

b=8

Step-by-step explanation:

Solution steps:

-7b=-56

b=-56 / -57

b=8

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ b = 8}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 7b = - 56}[/tex]

divide both sides of the equation by -7

[tex] \sf{ \dashrightarrow\frac{ - 7b}{ - 7} = \frac{ - 56}{ - 7} }[/tex]

Calculate

[tex] \dashrightarrow \sf{b = 8}[/tex]

Hope I helped!

Best regards! :D

Answer:75

Step-by-step explanation:

90-15=75

Answer:

He has 75 tacos left.

90 - 15 = 75.

Answer:

Step-by-step explanation:

y + 5 = 1(x - 7)

y + 5 = x - 7

y = x - 12

Answer:

(a) How many are there to select 2 pairs of gloves?

10 ways

(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)

130 ways

Step-by-step explanation:

For the above questions we apply that combination formula

(a) How many are there to select 2 pairs of gloves?

There are 5 pairs of gloves according to the question above, hence:

5C2 = 5!/2! × (5 - 2)!

= 5!/2! × 3!

= 5 × 4 × 3 × 2 × 1/2 × 1 × 3 × 2 × 1

= 10 ways.

Therefore, there are 10 ways to select 2 pairs of gloves

(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)

i) A way to select 4 gloves out of 10 gloves =

10C4 = 10!/4! ×(10 - 4)!

= 10!/ 4! × 6!

= 210 ways

ii) In order for 2 of the 4 gloves selected to be a pair, note that we have 5 pairs of gloves hence:

5 × 2⁴

= 80 ways.

Therefore, the number of ways which we can select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.) = 210 ways - 80 ways

= 130 ways

Step-by-step explanation:

sin(2A)

Use double angle formula:

= 2 sin(A) cos(A)

Use Pythagorean identity.  0 ≤ A ≤ π/2, so cos(A) > 0.

= 2 sin(A) √(1 − sin²(A))

Substitute and simplify.

= 2 (¼) √(1 − (¼)²)

= ½ √(¹⁵/₁₆)

= ⅛ √15

Answer:

(-1,4)

Step-by-step explanation:

Answer:

a. 17

b. 231

c. 1

d. 23

e. 9

Answer:

$1 for one tube

Step-by-step explanation:

Ratio is 10:10

if you keep on reducing it

you will eventually get to 1:1

Therefore, the answer is $1 for one tube

Answer:

158

Step-by-step explanation:

10.89-2.99 = 7.90

.5/7.90=158

Answer:

158 songs

Step-by-step explanation:

Monthly membership = 2.99

Each song cost = .05

Total Amount spent after 1 month = 10.89

S = Songs purchased

=> 2.99 + .05S = 10.89

=> 2.99 - 2.99 + .05S = 10.89 - 2.99

=> .05S = 7.9

=> .05S / .05 = 7.9 / .05

=> S = 158

So, she purchased 158 songs that month.

Answer:

B < -76

Step-by-step explanation:

You start out with writing out the equation

8-1/4b> 27

Then, you subtract 8 from each side, so the -1/4b can be by itself

-1/4b>27-8

-1/4b>19

After that, you want to get rid of that -1/4, so you multiply both sides by -4

This makes the > sign flip to <

So, this makes:

b < -76

Answer:

D

Step-by-step explanation:

If the number is positive, the absolute value is the same as the number. If the number is negative, the absolute value is just a positive version of that number. So the absolute value of 0 is 0, -18 is 18, -31 is 31, and -44 is 44. Out if these, D has the greatest absolute value, so it would be D

Answer:

D. -44.

Step-by-step explanation:

Absolute value of -44:

= |-44| = 44

Answer:

238,900 miles away

Answer:

238,900

Step-by-step explanation:

Light travels at a speed of 186,282 miles per second, you multiply this number by 1.25 you get your answer.

Answer:

4

Step-by-step explanation:

0</x/<5

0</1, 2, 3, 4/>5

(1,2,3,4) there are 4 numbers that are greater than 0 and less than 5.

Answer:

8

Step-by-step explanation:

All possible answers are 1,2,3,4,-1,-2,-3, and -4. Since we are using the absolute value here, the opposites of the positive values are also included.

Answer:

a)

{FVVV,FFVV,VFVV,VVVV,FVFV,FFFV,VFFV,VVFV,FVVF,FFVF,VFVF,VVVF,FVFF,FFFF,VFFF,VVFF}

b)

{FFFV,FFVF,FVFF,VFFF}

c)

{FFFF,VVVV}

d)

{FFFV,FFVF,FVFF,FFFF,VFFF}

e)

{FFFV,FFVF,FVFF,FFFF,VFFF,VVVV}

{FFFF}

f)

{FFFV,FFVF,FVFF,VFFF,FFFF,VVVV}

{ }

Step-by-step explanation:

a)

The 16 outcomes for a sample of four home mortgages classified as fixed and variable rate are

Sr.No Outcomes

1          FVVV

2         FFVV

3         VFVV

4         VVVV

5         FVFV

6         FFFV

7         VFFV

8         VVFV

9         FVVF

10        FFVF

11         VFVF

12        VVVF

13        FVFF

14        FFFF

15        VFFF

16        VVFF

b)

Let A be the event that exactly three are fixed rate. Thus, event A consists of following outcomes

A={FFFV,FFVF,FVFF,VFFF}

c)

Let B be the event that all four are of same type. The event B consists of either all fixed rate or all variable rate. Thus, event B consists of following outcomes

B={FFFF,VVVV}

d)

Let C be the event that at most one of four is variable rate. The event C consists of less than and equal to one variable rate. Thus, event C consists of following outcomes

C={FFFV,FFVF,FVFF,FFFF,VFFF}

e)

Let union of part(c) and part(d) can be represented as BUC. The union represents all the outcomes in event B and event C.

B∪C={FFFF,VVVV}∪{FFFV,FFVF,FVFF,FFFF,VFFF}

B∪C={FFFV,FFVF,FVFF,FFFF,VFFF,VVVV}

Let intersection of part(c) and part(d) can be represented as B∩C. The intersection represents the common outcomes in event B and event C.

B∩C={FFFF,VVVV}∩{FFFV,FFVF,FVFF,FFFF,VFFF}

B∩C={FFFF}

f)

Let union of part(b) and part(c) can be represented as AUB. The union represents all the outcomes in event A and event B.

A∪B={FFFV,FFVF,FVFF,VFFF}∪{FFFF,VVVV}

A∪B={FFFV,FFVF,FVFF,VFFF,FFFF,VVVV}

Let intersection of part(b) and part(c) can be represented as A∩B. The intersection represents the common outcomes in event A and event B.

A∩B={FFFV,FFVF,FVFF,VFFF}∩{FFFF,VVVV}

A∩B={ }

So intersection of part(b) and part(c) is an empty set as there is no common outcome in these two sets.

Sample of four homes.

The sample of 4 homes is on a mortgage and has been classified as a fixed rate of F and a variable rate of V. The mortgage is thus an agreement between the lender of the money and the borrower. The lender has the right to take away the property.

Thus answer is given below.

Learn more about the sample of four homes.

brainly.com/question/14565659.

Answer:

[tex]5x^5+5xyz+7xy+8x[/tex]

Step-by-step explanation:

When putting an equation in standard form, you always prioritize the term with the most variables - unless terms have a greater exponent.

The prioritization order is:

Exponents

Amount of variables

Value of coefficient

So, [tex]5x^5[/tex] is the only term with an exponent in this expression, so it will go first.

Next up, we have to choose between [tex]8x[/tex], [tex]5xyz[/tex], and [tex]7xy[/tex]. We know that [tex]5xyz[/tex] has more variables than the other ones, so it goes next.

Now we're left with [tex]7xy[/tex] and [tex]8x[/tex]. [tex]7xy[/tex] has more variables than [tex]8x[/tex], so it goes next.

This leaves [tex]8x[/tex] last.

So, the expression becomes [tex]5x^5+5xyz+7xy+8x[/tex].

Hope this helped!

Answer:

Your process is indeed correct!

The full solution is:

[tex]\displaystyle \int\frac{\sin ^3 x}{\sqrt{\cos x}}\, dx= \frac{2}{5} \cos^{{}^{5}\!/\!{}_{2}} x - 2\cos ^{{}^{1}\!/\!{}_{2}}x + C[/tex]

Step-by-step explanation:

We want to evaluate the integral:

[tex]\displaystyle \int \frac{\sin^3(x)}{\sqrt{\cos(x)}}\, dx[/tex]

As you had done, we can rewrite our integral as:

[tex]\displaystyle =\int \frac{\sin(x)(\sin^2(x))}{\sqrt{\cos(x)}}\, dx[/tex]

Using the Pythagorean Identity, this is:

[tex]\displaystyle =\int \frac{\sin(x)(1-\cos^2(x))}{\sqrt{\cos(x)}}\, dx[/tex]

Now, we can make a substitution. Let u = cos(x). Then:

[tex]\displaystyle du = - \sin x \, dx[/tex]

Substitute:

[tex]\displaystyle = \int\frac{1-u^2}{\sqrt{u}} \, \left(- du\right)[/tex]

Simplify:

[tex]\displaystyle = -\int \frac{1}{\sqrt{u}} - \frac{u^2}{\sqrt{u}}\, du[/tex]

Rewrite:

[tex]\displaystyle = -\int u^{{}^{-1}\!/\!{}_{2}} - u^{{}^{3}\!/\!{}_{2}}\, du[/tex]

By the Reverse Power Rule:

[tex]\displaystyle = -\left(2u^{{}^{1}\!/\!{}_{2}} - \frac{2}{5} u^{{}^{5}\!/\!{}_{2}}\right) + C[/tex]

Simplify:

[tex]\displaystyle = \frac{2}{5} u^{{}^{5}\!/\!{}_{2}}-2u^{{}^{1}\!/\!{}_{2}} + C[/tex]

Back-substitute:

[tex]\displaystyle = \frac{2}{5} \cos^{{}^{5}\!/\!{}_{2}} x - 2\cos ^{{}^{1}\!/\!{}_{2}}x + C[/tex]

Answer:

=  - 2 [tex]\sqrt{cos(x)}[/tex] + 2 cos⁵/₂ (x)  + C

                          5

Step-by-step explanation:

∫ sin³ (x)    dx

  [tex]\sqrt{cos(x)}[/tex]

= ∫ sin² (x) sin (x)    dx

   [tex]\sqrt{cos(x)}[/tex]

= ∫ (1 - cos² (x) sin (x)  dx

   [tex]\sqrt{cos(x)}[/tex]

= ∫ - 1 - u²   du

        √u

= ∫ -   1    +  u³/₂   du

        √u

= - ∫   1    du  +  ∫ u³/₂   du

        √u

substitute it back

=  - 2 √u + 2 cos⁵/₂ (x)

                 5

add constant, therefore

=  - 2 [tex]\sqrt{cos(x)}[/tex] + 2 cos⁵/₂ (x)  + C

                         5

Answer:

[tex]y = \frac{9x^2}{2} + c[/tex]

Step-by-step explanation:

Given

[tex]\int\limits^ _[/tex][tex](x + 8x) dx[/tex]

Required

(a) Integrate

(b) Check using differentiation

To integrate, we make use of the following formula;

if

[tex]\frac{dy}{dx} = \int\limits^{} _{} ax^n[/tex]

then

[tex]y = \frac{ax^{n+1}}{n+1}[/tex]

So; [tex]\int\limits^ _[/tex][tex](x + 8x) dx[/tex] becomes

[tex]y = \frac{x^{1+1}}{1+1} + \frac{8x^{1+1}}{1+1} + c[/tex]

[tex]y = \frac{x^{2}}{2} + \frac{8x^{2}}{2} + c[/tex]

[tex]y = \frac{x^{2}}{2} + 4x^2 + c[/tex]

Take LCM

[tex]y = \frac{x^{2} + 8x^2}{2} + c[/tex]

[tex]y = \frac{9x^2}{2} + c[/tex]

To check using differentiation, we make use of

if [tex]y = ax^n[/tex], then

[tex]\frac{dy}{dx} = nax^{n-1}[/tex]

Using this formula

[tex]y = \frac{9x^2}{2} + c[/tex] becomes

[tex]\frac{dy}{dx} = 2 * \frac{9x^{2-1}}{2}[/tex]

[tex]\frac{dy}{dx} = 2 * \frac{9x}{2}[/tex]

[tex]\frac{dy}{dx} =9x[/tex]

[tex]9x = x + 8x[/tex]

So;

[tex]\frac{dy}{dx} = x + 8x[/tex]